Degree to Radian Converter
Convert degrees to radians with this free angle converter. The exact relationship used on this page is 1 degree = 0.0174532925199 radians. Type any number — the result updates instantly, works on phones and desktops, and is ready to copy into homework, a spec sheet, or a shopping list.
Formula: Radian = Degree × 0.0174532925199
How to convert degrees to radians
- Enter the value in degrees in the converter.
- Read the equivalent amount in radians.
- Use the swap link if you need radian to degree instead.
- Check the table for common values without typing.
Worked examples
- 1 ° = 0.01745329252 rad
- 5 ° = 0.0872664626 rad
- 10 ° = 0.1745329252 rad
- 25 ° = 0.436332313 rad
Conversion table
Common degrees values converted to radians.
| ° | rad |
|---|---|
| 1 | 0.01745329252 |
| 2 | 0.03490658504 |
| 3 | 0.05235987756 |
| 4 | 0.06981317008 |
| 5 | 0.0872664626 |
| 6 | 0.1047197551 |
| 7 | 0.1221730476 |
| 8 | 0.1396263402 |
| 9 | 0.1570796327 |
| 10 | 0.1745329252 |
| 20 | 0.3490658504 |
| 50 | 0.872664626 |
| 100 | 1.745329252 |
| 250 | 4.36332313 |
| 500 | 8.72664626 |
| 1,000 | 17.45329252 |
About this conversion
Degree (°) and Radian (rad) are both angle units. Angles appear in geometry, navigation, CGI, and engineering. Bookmark this URL when you convert degrees to radians often, then explore related pairs in the same category if you need a different target unit.
Need the other direction? Open the radian to degree converter.
FAQ
How many radians are in 1 degree?+
1 degree equals 0.0174532925199 radians.
What is the formula to convert degrees to radians?+
Radian = Degree × 0.0174532925199
How do I convert degrees to radians by hand?+
Multiply the degree value by 0.0174532925199. Example: 10 degrees × 0.0174532925199 = 0.174532925199 radians.
Is this ° to rad converter accurate?+
Yes. Linear conversions use internationally agreed factors relative to SI. Temperature and inverse fuel units use the standard offset or reciprocal formulas, not a guessed scale factor.